obeynobig obeynobig
  • 25-10-2017
  • Mathematics
contestada

The function f(x) = x2 + 5x – 6 is shifted 4 units to the left to create g(x). What is g(x)?


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altavistard
altavistard altavistard
  • 25-10-2017
Please, use "^" to denote exponentiation:  x^2, not x2.

f(x) = x^2 + 5x – 6 becomes g(x) if we replace each x in f(x) with (x+4):

g(x) = (x+4)^2 + 5(x+4) - 6

This can be expanded:  g(x) = x^2 + 8x + 16 + 5x + 20 - 6, or
                                       g(x) = x^2 + 13x + 30


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katlinj12 katlinj12
  • 29-04-2020

Answer:

g(x)=(x+4)^2+5(x+4)-6

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